Group Homomorphisms: Kernels, Images, and Normal Subgroups

This lecture covers group homomorphisms, focusing on the concepts of kernels and images, as well as normal subgroups. The dihedral group D_n is introduced as an example, along with discussions on the elliptic curve group and the Lenstra factorization algorithm. The presentation progresses through examples of subgroups in D_n, exploring the structure of cosets with respect to normal subgroups and the formation of quotient groups.